User talk:FloraC: Difference between revisions

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: You might be missing the fact that afdos are octave-repeating tunings and that octave-equivalent rotation is a thing. For edos it's the prime factor rule, since each edo only has one mode. For afdos, ''n''-afdo has ''n'' distinct modes. So in the 2- and 3afdo example, 2afdo has two modes: 2:3:4 and 3:4:6. 3afdo has three modes: 3:4:5:6, 4:5:6:8, and 5:6:8:10. 3:4:5:6 is a superset of 3:4:6, so 3afdo is a superset of 2afdo. The same is true for any two distinct afdos and any two distinct ifdos. I hope that answers your question. [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 12:03, 12 December 2024 (UTC)

:: Thanks for your quick and detailed response. The examples you provided are very helpful, so I have got the idea. I'll have to dig a little deeper into the subject of octave repeating tunings and octave equivalent rotation.<br>Best --[[User:Holger Stoltenberg|Holger Stoltenberg]] ([[User talk:Holger Stoltenberg|talk]]) 16:31, 12 December 2024 (UTC)

Revision as of 12:03, 12 December 2024 view source FloraC (talk \| contribs) autopatrolled, Bureaucrats, Interface administrators, Sysops 24,114 edits →Subsets and Supersets af AFDOs (Pages AFDO, 2afdo, 3afdo, …n-afdo): re ← Older edit		Revision as of 16:31, 12 December 2024 view source Holger Stoltenberg (talk \| contribs) 574 edits No edit summary Newer edit →
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	: You might be missing the fact that afdos are octave-repeating tunings and that octave-equivalent rotation is a thing. For edos it's the prime factor rule, since each edo only has one mode. For afdos, ''n''-afdo has ''n'' distinct modes. So in the 2- and 3afdo example, 2afdo has two modes: 2:3:4 and 3:4:6. 3afdo has three modes: 3:4:5:6, 4:5:6:8, and 5:6:8:10. 3:4:5:6 is a superset of 3:4:6, so 3afdo is a superset of 2afdo. The same is true for any two distinct afdos and any two distinct ifdos. I hope that answers your question. [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 12:03, 12 December 2024 (UTC)		: You might be missing the fact that afdos are octave-repeating tunings and that octave-equivalent rotation is a thing. For edos it's the prime factor rule, since each edo only has one mode. For afdos, ''n''-afdo has ''n'' distinct modes. So in the 2- and 3afdo example, 2afdo has two modes: 2:3:4 and 3:4:6. 3afdo has three modes: 3:4:5:6, 4:5:6:8, and 5:6:8:10. 3:4:5:6 is a superset of 3:4:6, so 3afdo is a superset of 2afdo. The same is true for any two distinct afdos and any two distinct ifdos. I hope that answers your question. [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 12:03, 12 December 2024 (UTC)

			:: Thanks for your quick and detailed response. The examples you provided are very helpful, so I have got the idea. I'll have to dig a little deeper into the subject of octave repeating tunings and octave equivalent rotation.<br>Best --[[User:Holger Stoltenberg\|Holger Stoltenberg]] ([[User talk:Holger Stoltenberg\|talk]]) 16:31, 12 December 2024 (UTC)